Lorentz boosted NN potential for few-body systems: Application to the three-nucleon bound state

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  • Lorentz boosted<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>NN</mml:mi></mml:math>potential for few-body systems: Application to the three-nucleon bound state
Published
2002-10
Resource Type
journal article
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  • Copyright © 2002 American Institute of Physics
DOI
  • 10.1103/physrevc.66.044010
  • 10.1142/s0217732303010089
  • 10.48550/arxiv.nucl-th/0208029
Publisher
American Physical Society

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A Lorentz boosted two-nucleon potential is introduced in the context of equal time relativistic quantum mechanics. The dynamical input for the boosted nucleon-nucleon (NN) potential is based on realistic NN potentials, which by a suitable scaling of the momenta are transformed into NN potentials belonging to a relativistic two-nucleon Schrödinger equation in the c.m. system. This resulting Lorentz boosted potential is consistent with a previously introduced boosted two-body t matrix. It is applied in relativistic Faddeev equations for the three-nucleon bound state to calculate the 3H binding energy. Like in previous calculations the boost effects for the two-body subsystems are repulsive and lower the binding energy.

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